3. (1) If m<2 = 40 degree, then m<3 = 140 degrees (2) if m<3 = 140 degrees, then m<4 = 40 degrees (3) If m<2 = 40 degrees, then m<4 = 40 degrees

Translate the following statements using propositional variables. a) Negate the statement, "I will play golf or I will play tennis." b) Find the contrapositive of the statement, "If I study all week, then I will pass my final." c) Find the converse of the statement, "If you don't buy the DVD, you will have to rent the DVD." d) Write the statement, and the commuted version of, "I can use AutoCAD and Visio." Is the statement ~(pv q) the logical equivalent of p → q ? Use a truth table to demonstrate your answer. Skip no Columns.

Decide whether the argument is valid or a fallacy, and give the form that applies. If my favorite band comes to town, then I will go to the concert. If I go to the concert, then I'll take a vacation day. If my favorite band comes to town, then I'll take a vacation day. Let p be the statement "my favorite band comes town," q be the statement "I will go to the concert," and r be the statement "I'll take a vacation day." The argument is by or

Identify the standard form of the following argument. 9 →r .. p→r ..... Choose the correct answer below. O A. Law of Contrapositive B. Disjunctive Syllogism C. Law of Detachment O D. Law of Syllogism

Show that A-→ B, C→ D, (B v D)→ E,-E -(A v C) is a valid argument form.

All of the employees at the acmesoft company are either programmers or salespeople. The programmers are always tell the truth, the salespeople always lie. Threes Acmesoft employees - A, B, and C-were standing together in the hallway. A visitor passed by and asked A. "Are you a programmer or a salesperson?" A mumbled an answer that the visitor could not hear clearly. The visitor then asked B, "what did A say?" B replied. "A said that he is a salesperson."At this point, the third employee, C, said ,"Don't believe B; he is lying! What are B and C? 1/ B and C are both programmers 2/ B is a programmer and C is a salesperson 3/  B is a salesperson and C is a programmer 4/ B and C are both salesperson

What is the converse of the statement: "If the Eagles win the Super Bowl then I'm the president"? If I'm the president then the Eagles win the Super Bowl. O If I'm not the president then the Eagles don't win the Super Bowl. If the Eagles don't win the Super Bowl then I'm not the president.

Write each of the following conditional statements and the corresponding converse, inverse, and contrapositive as English sentences in the form “if ?, then ?.”Example: Whenever it rains, it pours. Answer: Original statement: If it rains, then it pours. Converse: If it pours, then it rains. Inverse: If it doesn’t rain, then it doesn’t pour. Contrapositive: If it doesn’t pour, then it doesn’t rain. 1.1 You can do it if you put your mind to it. 1.2 Being cold implies that you need a jacket. 1.3 Petting the cat is sufficient for it to purr.

A conditional is a statement that contains a conjecture. O True O False

Find RS.